Based the density function of the observed outcome, the probability 
is equal to 0.1388.
<h3>What is a density function?</h3>
A density function can be defined as a type of function which is used to represent the density of a continuous random variable that lies within a specific range.
Given the following density function:
Next, we would calculate ;
![P(x\leq \frac{1}{3} )=\int\limits^\frac{1}{3} _0 {f(x)} \, dx \\\\P(x\leq \frac{1}{3} )=2 \int\limits^\frac{1}{3} _0 {(1-x)} \, dx \\\\P(x\leq \frac{1}{3} )=2|x-\frac{x^2}{2} |\limits^\frac{1}{3} _0\\\\P(x\leq \frac{1}{3} )=2[\frac{1}{3} -\frac{1}{2} (\frac{1}{3})^2]\\\\P(x\leq \frac{1}{3} )=2[\frac{1}{3} -\frac{1}{18}]\\\\P(x\leq \frac{1}{3} )=0.1388](https://tex.z-dn.net/?f=P%28x%5Cleq%20%5Cfrac%7B1%7D%7B3%7D%20%29%3D%5Cint%5Climits%5E%5Cfrac%7B1%7D%7B3%7D%20_0%20%7Bf%28x%29%7D%20%5C%2C%20dx%20%5C%5C%5C%5CP%28x%5Cleq%20%5Cfrac%7B1%7D%7B3%7D%20%29%3D2%20%5Cint%5Climits%5E%5Cfrac%7B1%7D%7B3%7D%20_0%20%7B%281-x%29%7D%20%5C%2C%20dx%20%5C%5C%5C%5CP%28x%5Cleq%20%5Cfrac%7B1%7D%7B3%7D%20%29%3D2%7Cx-%5Cfrac%7Bx%5E2%7D%7B2%7D%20%7C%5Climits%5E%5Cfrac%7B1%7D%7B3%7D%20_0%5C%5C%5C%5CP%28x%5Cleq%20%5Cfrac%7B1%7D%7B3%7D%20%29%3D2%5B%5Cfrac%7B1%7D%7B3%7D%20-%5Cfrac%7B1%7D%7B2%7D%20%28%5Cfrac%7B1%7D%7B3%7D%29%5E2%5D%5C%5C%5C%5CP%28x%5Cleq%20%5Cfrac%7B1%7D%7B3%7D%20%29%3D2%5B%5Cfrac%7B1%7D%7B3%7D%20-%5Cfrac%7B1%7D%7B18%7D%5D%5C%5C%5C%5CP%28x%5Cleq%20%5Cfrac%7B1%7D%7B3%7D%20%29%3D0.1388)
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Earth rotates entirely on its axis once during this time
Earth's revolution is 365 days
The moon revolves around the Earth every 27.3 day
The Vanderbilt University Institute for Imaging Science (VUIIS) Center for Computational Imaging (CCI) is known to have made a database built on XNAT housing that is said to house about a quarter of a million scans.
<h3>What is the institute about?</h3>
The above study was said go have used the database that gave a framework for:
- Fast prototyping
- large volume batch processing of images
- Scalable project management.
The above system is one that make use of the web-based interfaces of XNAT and REDCap to give room for graphical interaction.
Hence, the Distributed Automation for XNAT (DAX) package, is one that shares computation in all of Vanderbilt Advanced Computing Center for Research and Education high form of computing center.
Therefore, The Vanderbilt University Institute for Imaging Science (VUIIS) Center for Computational Imaging (CCI) is known to have made a database built on XNAT housing that is said to house about a quarter of a million scans.
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When Eleanor Roosevelt says, "There is such a thing as going through the world blindfolded. I have known people who were quite unconscious of the play of the sun and shadow on the hills," she means people can fail to recognize the beauty in the world. This means that these people rarely take advantage of opportunities in life.
The wife of President Franklin D. Roosevelt, Eleanor Roosevelt was the first lady of the United States of America from 1933 to 1945. During this tenure, Roosevelt championed poverty alleviation, access to education and civil rights as well as travelled to the European and Pacific front lines, when the world was engaged in World War II.
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